Article ID: CBB760218453

La tabula tabularum de Jean de Murs et les modèles de l’arithmétique médiévale (2014)

unapi

Jean de Murs (active ca. 1317-1345), while a master at the Faculté des Arts in Paris, wrote a text in 1321 outlining the uses of a multiplication table of two-position sexagesimal numbers. The result of this work, although it does not total more than 3500 words, has much more to teach us about medieval arithmetic in an astronomical context than we might expect at first sight. The Tabula tabularum has two particularly interesting characteristics for the historian of mathematics. First, the text is not completely smooth and one can trace the different stages of its composition in order to follow the moments of John de Murs' reasoning. Secondly, the text is intended to be a universal tool for calculation and, if it succeeds only imperfectly, it nevertheless confronts deep mathematical questions about the nature of numbers and the relations between the different arithmetical operations. These two aspects of the text allow us to analyze the heuristic and creative functions of models in medieval arithmetic.

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Authors & Contributors
Boucard, Jenny
Bialynicki-Birula, Iwona
Bréard, Andrea
Chabás Bergón, José
Cook, Constance A.
Diéguez, Antonio
Journals
Archive for History of Exact Sciences
History and Philosophy of the Life Sciences
British Journal for the Philosophy of Science
Historia Mathematica
Médiévales
Studies in History and Philosophy of Science
Publishers
American Mathematical Society
Catholic University of America
Brill
Mzinhigan Publishing
Oxford University Press
Springer
Concepts
Number theory; number concept
Models and modeling in science
Arithmetic
Mathematics and its relationship to nature
Mathematics
Algebra
People
Cauchy, Augustin Louis
Ptolemy
Albert, Adrian
al-Ṭūsī, Abū Jaʿfar Muḥammad Naṣīr al-Dīn
Babbage, Charles
Delambre, Jean Baptiste Joseph
Time Periods
19th century
Medieval
20th century
Ancient
13th century
20th century, early
Places
Paris (France)
Persia (Iran)
Rome (Italy)
China
France
Institutions
University of Chicago
Université de Paris
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